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Finding the Fourth Proportional to 419.50, 574.61 and 414.22

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Solution

The fourth proportional to 419.50, 574.61 and 414.22 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.50 : 574.61 = 414.22 : x
  2. Step 2: Convert to fraction form
    419.50/574.61 = 414.22/x
  3. Step 3: Cross multiply
    419.50x = 574.61 × 414.22
  4. Step 4: Simplify right side
    419.50x = 238,014.95
  5. Step 5: Solve for x
    x = 238,014.95/419.50
  6. Step 6: Final answer
    x = 567.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.